{
 "cells": [
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   "cell_type": "markdown",
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   "source": [
    "# Hierarchical Equal Risk Contribution with MlFinLab\n",
    "\n",
    "## Abstract\n",
    "The following notebook will explore MlFinLab's implementation of Thomas Raffinot's Hierarchical Equal Risk Contribution portfolio optimization technique. Users will be taken through how they can construct an optimal portfolio and the different risk metrics and linkage algorithms supported. Additionally, users will be able to see how they can create custom use cases with this library.\n",
    "\n",
    "## Introduction\n",
    "This tutorial will show users how to optimize a portfolio using the __[Hierarchical Equal Risk Contribution](https://ssrn.com/abstract=3237540)__ (HERC) optimization technique provided through the MlFinLab library. The HERC technique was developed by Thomas Raffinot in 2018, which built off his original __[Hierarchical Clustering Asset Allocation](https://ssrn.com/abstract=2840729)__ (HCAA) technique from 2017. The official documentation for this tutorial can be found __[here](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__. \n",
    "\n",
    "\n",
    "From Raffinot's 2018 paper on the HERC optimization technique, the following steps for implementation of the HCAA and HERC techniques were shown. \n",
    "\n",
    "Raffinot described the HCAA implementation in four steps:\n",
    "1. Hierarchical clustering\n",
    "2. Selecting the optimal number of clusters\n",
    "3. Capital is allocated across clusters\n",
    "4. Capital is allocated within clusters\n",
    "\n",
    "HERC is built off this original implementation, combining the machine learning approach of the HCAA technique with the Top-Down recursive bisection approach from the __[Hierarchical Risk Parity](https://hudsonthames.org/an-introduction-to-the-hierarchical-risk-parity-algorithm/)__ algorithm. The HERC algorithm aims to diversify capital and risk allocations throughout the portfolio.\n",
    "\n",
    "The steps for the HERC implementation are computed as:\n",
    "1. Hierarchical clustering\n",
    "2. Selecting the optimal number of clusters\n",
    "3. Top-Down recursive bisection\n",
    "4. Implement Naive Risk Parity within clusters to allocate weights to each asset\n",
    "\n",
    "### Supported Risk Measures\n",
    "\n",
    "The HERC implementation provided through MlFinLab currently supports the following metrics for calculating weight allocations:\n",
    "1. 'variance': The variance of the clusters is used as a risk metric\n",
    "2. 'standard_deviation': The standard deviation of the clusters is used as a risk metric\n",
    "3. 'equal_weighting': All clusters are weighted equally with respect to the risk\n",
    "4. 'expected_shortfall': The expected shortfall of the clusters is used as a risk metric\n",
    "5. 'conditional_drawdown_risk': The conditional drawdown at risk of the clusters is used as a risk metric\n",
    "\n",
    "### Supported Linkage Methods\n",
    "\n",
    "Additionally, MlFinLab allows users to customize the type of linkage algorithm for the use of clustering. The current supported linkage methods are:\n",
    "1. Single Linkage - the distance between two clusters is the minimum distance between any two points in the clusters\n",
    "2. Complete Linkage - the distance between two clusters is the maximum of the distance between any two points in the clusters\n",
    "3. Average Linkage - the distance between two clusters is the average of the distance between any two points in the clusters\n",
    "4. Ward Linkage - the distance between two clusters is the increase of the squared error from when two clusters are merged\n",
    "\n",
    "**The default linkage method in MlFinLab is set as the Ward Linkage method.** To learn more about the different types of linkage methods, please refer to Raffinot's paper on the __[HCAA method](https://ssrn.com/abstract=2840729)__ or to the __[official documentation](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing our required libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as mpatches\n",
    "from mlfinlab.portfolio_optimization.herc import HierarchicalEqualRiskContribution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Data\n",
    "\n",
    "In this tutorial, we will be working with the historical closing prices for 17 assets from 2010-2018. The data we are working with was chosen because the clustering structure is clearly visible so it as a very good dataset for working with and visualizing various clustering techniques."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dates</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1989-02-01</th>\n",
       "      <td>2039.7</td>\n",
       "      <td>875.47</td>\n",
       "      <td>297.09</td>\n",
       "      <td>392.50</td>\n",
       "      <td>99.081</td>\n",
       "      <td>99.039</td>\n",
       "      <td>99.572</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.031</td>\n",
       "      <td>100.345</td>\n",
       "      <td>101.080</td>\n",
       "      <td>101.936</td>\n",
       "      <td>154.38</td>\n",
       "      <td>117.50</td>\n",
       "      <td>1636.57</td>\n",
       "      <td>133.584</td>\n",
       "      <td>286.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-02</th>\n",
       "      <td>2043.4</td>\n",
       "      <td>878.08</td>\n",
       "      <td>296.84</td>\n",
       "      <td>392.00</td>\n",
       "      <td>98.898</td>\n",
       "      <td>99.117</td>\n",
       "      <td>99.278</td>\n",
       "      <td>99.692</td>\n",
       "      <td>100.000</td>\n",
       "      <td>100.314</td>\n",
       "      <td>101.017</td>\n",
       "      <td>101.905</td>\n",
       "      <td>154.94</td>\n",
       "      <td>117.69</td>\n",
       "      <td>1642.94</td>\n",
       "      <td>135.052</td>\n",
       "      <td>287.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-03</th>\n",
       "      <td>2069.9</td>\n",
       "      <td>884.09</td>\n",
       "      <td>296.97</td>\n",
       "      <td>388.75</td>\n",
       "      <td>98.907</td>\n",
       "      <td>99.002</td>\n",
       "      <td>99.145</td>\n",
       "      <td>99.178</td>\n",
       "      <td>99.812</td>\n",
       "      <td>100.062</td>\n",
       "      <td>100.921</td>\n",
       "      <td>101.718</td>\n",
       "      <td>155.69</td>\n",
       "      <td>118.62</td>\n",
       "      <td>1659.11</td>\n",
       "      <td>137.134</td>\n",
       "      <td>285.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-06</th>\n",
       "      <td>2044.3</td>\n",
       "      <td>885.49</td>\n",
       "      <td>296.04</td>\n",
       "      <td>388.00</td>\n",
       "      <td>98.484</td>\n",
       "      <td>98.502</td>\n",
       "      <td>98.510</td>\n",
       "      <td>97.739</td>\n",
       "      <td>99.812</td>\n",
       "      <td>100.062</td>\n",
       "      <td>100.794</td>\n",
       "      <td>101.468</td>\n",
       "      <td>155.58</td>\n",
       "      <td>118.89</td>\n",
       "      <td>1656.86</td>\n",
       "      <td>137.037</td>\n",
       "      <td>284.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-07</th>\n",
       "      <td>2072.8</td>\n",
       "      <td>883.82</td>\n",
       "      <td>299.63</td>\n",
       "      <td>392.75</td>\n",
       "      <td>98.438</td>\n",
       "      <td>98.312</td>\n",
       "      <td>98.292</td>\n",
       "      <td>97.688</td>\n",
       "      <td>99.906</td>\n",
       "      <td>100.251</td>\n",
       "      <td>101.144</td>\n",
       "      <td>102.092</td>\n",
       "      <td>156.84</td>\n",
       "      <td>118.28</td>\n",
       "      <td>1662.76</td>\n",
       "      <td>136.914</td>\n",
       "      <td>284.21</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      "text/plain": [
       "              FTSE  EuroStoxx50   SP500    Gold  French-2Y  French-5Y  \\\n",
       "Dates                                                                   \n",
       "1989-02-01  2039.7       875.47  297.09  392.50     99.081     99.039   \n",
       "1989-02-02  2043.4       878.08  296.84  392.00     98.898     99.117   \n",
       "1989-02-03  2069.9       884.09  296.97  388.75     98.907     99.002   \n",
       "1989-02-06  2044.3       885.49  296.04  388.00     98.484     98.502   \n",
       "1989-02-07  2072.8       883.82  299.63  392.75     98.438     98.312   \n",
       "\n",
       "            French-10Y  French-30Y    US-2Y    US-5Y   US-10Y   US-30Y  \\\n",
       "Dates                                                                    \n",
       "1989-02-01      99.572     100.000  100.031  100.345  101.080  101.936   \n",
       "1989-02-02      99.278      99.692  100.000  100.314  101.017  101.905   \n",
       "1989-02-03      99.145      99.178   99.812  100.062  100.921  101.718   \n",
       "1989-02-06      98.510      97.739   99.812  100.062  100.794  101.468   \n",
       "1989-02-07      98.292      97.688   99.906  100.251  101.144  102.092   \n",
       "\n",
       "            Russel2000  EuroStox_Small  FTSE_Small  MSCI_EM     CRB  \n",
       "Dates                                                                \n",
       "1989-02-01      154.38          117.50     1636.57  133.584  286.67  \n",
       "1989-02-02      154.94          117.69     1642.94  135.052  287.03  \n",
       "1989-02-03      155.69          118.62     1659.11  137.134  285.63  \n",
       "1989-02-06      155.58          118.89     1656.86  137.037  284.69  \n",
       "1989-02-07      156.84          118.28     1662.76  136.914  284.21  "
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# preparing our data\n",
    "raw_prices = pd.read_csv(\"../../Sample-Data/assetalloc.csv\", sep=';', parse_dates=True, index_col='Dates', dayfirst=True)\n",
    "stock_prices = raw_prices.sort_values(by='Dates')\n",
    "stock_prices.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# taking a quick look at our most recent 5000 data points\n",
    "stock_prices.resample('M').last().plot(figsize=(17,7))\n",
    "plt.ylabel('Price', size=15)\n",
    "plt.xlabel('Dates', size=15)\n",
    "plt.title('Stock Data Overview', size=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also plot the volatility of our stocks as well for further inspection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting the volatility of our stocks\n",
    "volatility = stock_prices.pct_change().rolling(window=252).std()*(252**0.5)\n",
    "\n",
    "plt.figure(figsize=(17,7))\n",
    "plt.plot(volatility)\n",
    "plt.ylabel('Volatility', size=20)\n",
    "plt.xlabel('Date', size=20)\n",
    "plt.title('Volatility of Asset Prices', size=18)\n",
    "plt.legend(stock_prices.columns, loc='upper left', bbox_to_anchor=(-0.2, 1.02))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Equal Weighting Portfolio\n",
    "In the Equal Weighting portfolio, all the clusters are weighted equally in terms of risk to construct our optimal portfolio. The following image shows how asset allocation works with a small example, and highlights how important choosing the optimal number of clusters is in our algorithm.\n",
    "\n",
    "<img src='ex_dendo2.jpg' style=\"width:400px;height:400px\"/>\n",
    "\n",
    "\n",
    "\n",
    "In this example, we will also be showing the different effects of using the four different linkage algorithms. We will first be using the Single Linkage method, then the Complete Linkage method, followed by the Average Linkage method, and finally the Ward Linkage method. Keep in mind that the default linkage algorithm is set to the Ward Linkage algorithm.\n",
    "\n",
    "Note that the allocate method for the HierarchicalEqualRiskContribution() object requires three parameters to run: \n",
    "1. asset_names (a list of strings containing the asset names)\n",
    "2. asset_prices (a dataframe of historical asset prices - daily close)\n",
    "3. risk_measure (the type of solution/algorithm to use to calculate the weights)\n",
    "\n",
    "Users can also specify: \n",
    "1. The type of linkage algorithm (shown below) \n",
    "2. The confidence level used for calculating expected shortfall and conditional drawdown at risk \n",
    "3. The optimal number of clusters for clustering\n",
    "4. How to resample the prices\n",
    "\n",
    "For simplicity, we will only be working with the three required parameters and also specifying our linkage algorithm of choice. For more detailed notes on this implementation, please refer to the __[official documentation](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Equal Weighting Portfolio Weights - Single Linkage \n",
      "     US-2Y  US-30Y   US-5Y  US-10Y  French-30Y  French-10Y  French-2Y  \\\n",
      "0  0.0625  0.0625  0.0625  0.0625      0.0625      0.0625     0.0625   \n",
      "\n",
      "   French-5Y  Gold    CRB    SP500  Russel2000  MSCI_EM  FTSE_Small    FTSE  \\\n",
      "0     0.0625  0.25  0.125  0.03125     0.03125   0.0125      0.0125  0.0125   \n",
      "\n",
      "   EuroStoxx50  EuroStox_Small  \n",
      "0       0.0125          0.0125  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with equal_weighting solution - Single Linkage\n",
    "hercEW_single = HierarchicalEqualRiskContribution()\n",
    "hercEW_single.allocate(asset_names=stock_prices.columns,\n",
    "                       asset_prices=stock_prices,\n",
    "                       risk_measure='equal_weighting',\n",
    "                       linkage='single')\n",
    "\n",
    "print(\"Equal Weighting Portfolio Weights - Single Linkage \\n\", hercEW_single.weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To save on computation time, we can print out the optimal number of clusters computed from our first optimized portfolio and pass it in as a parameter to our other portfolios."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6\n"
     ]
    }
   ],
   "source": [
    "print(hercEW_single.optimal_num_clusters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Equal Weighting Portfolio Weights - Complete Linkage \n",
      "     US-2Y  US-30Y   US-5Y  US-10Y  French-2Y  French-5Y  French-10Y  \\\n",
      "0  0.0625  0.0625  0.0625  0.0625     0.0625     0.0625      0.0625   \n",
      "\n",
      "   French-30Y   SP500  Russel2000  MSCI_EM  FTSE_Small   FTSE  EuroStoxx50  \\\n",
      "0      0.0625  0.0625      0.0625    0.025       0.025  0.025        0.025   \n",
      "\n",
      "   EuroStox_Small   Gold    CRB  \n",
      "0           0.025  0.125  0.125  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with equal_weighting solution - Complete Linkage\n",
    "hercEW_complete = HierarchicalEqualRiskContribution()\n",
    "hercEW_complete.allocate(asset_names=stock_prices.columns,\n",
    "                         asset_prices=stock_prices,\n",
    "                         risk_measure='equal_weighting',\n",
    "                         optimal_num_clusters=6,\n",
    "                         linkage='complete')\n",
    "\n",
    "print(\"Equal Weighting Portfolio Weights - Complete Linkage \\n\", hercEW_complete.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Equal Weighting Portfolio Weights - Average Linkage \n",
      "     CRB   SP500  Russel2000  MSCI_EM  FTSE_Small   FTSE  EuroStoxx50  \\\n",
      "0  0.25  0.0625      0.0625    0.025       0.025  0.025        0.025   \n",
      "\n",
      "   EuroStox_Small  Gold    US-2Y   US-30Y    US-5Y   US-10Y  French-2Y  \\\n",
      "0           0.025  0.25  0.03125  0.03125  0.03125  0.03125    0.03125   \n",
      "\n",
      "   French-5Y  French-10Y  French-30Y  \n",
      "0    0.03125     0.03125     0.03125  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with equal_weighting solution - Average Linkage\n",
    "hercEW_average = HierarchicalEqualRiskContribution()\n",
    "hercEW_average.allocate(asset_names=stock_prices.columns,\n",
    "                        asset_prices=stock_prices,\n",
    "                        risk_measure='equal_weighting',\n",
    "                        optimal_num_clusters=6,\n",
    "                        linkage='average')\n",
    "\n",
    "print(\"Equal Weighting Portfolio Weights - Average Linkage \\n\", hercEW_average.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Equal Weighting Portfolio Weights - Ward Linkage \n",
      "     Gold    CRB   SP500  Russel2000   FTSE  EuroStoxx50  EuroStox_Small  \\\n",
      "0  0.125  0.125  0.0625      0.0625  0.025        0.025           0.025   \n",
      "\n",
      "   FTSE_Small  MSCI_EM   US-2Y  US-30Y   US-5Y  US-10Y  French-2Y  French-5Y  \\\n",
      "0       0.025    0.025  0.0625  0.0625  0.0625  0.0625     0.0625     0.0625   \n",
      "\n",
      "   French-10Y  French-30Y  \n",
      "0      0.0625      0.0625  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with equal_weighting solution - Ward Linkage\n",
    "hercEW_ward = HierarchicalEqualRiskContribution()\n",
    "hercEW_ward.allocate(asset_names=stock_prices.columns,\n",
    "                     asset_prices=stock_prices,\n",
    "                     risk_measure='equal_weighting',\n",
    "                     optimal_num_clusters=6,\n",
    "                     linkage='ward')\n",
    "\n",
    "print(\"Equal Weighting Portfolio Weights - Ward Linkage \\n\", hercEW_ward.weights)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "MlFinLab also allows us to plot the produced dendrogram from our optimal portfolios. This method can be accessed through the method name 'plot_clusters()'. The different colours in the x-labels of our produced dendrogram represent each cluster in our algorithm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(17,7))\n",
    "hercEW_ward.plot_clusters(assets=stock_prices.columns)\n",
    "plt.title('HERC Dendrogram', size=18)\n",
    "plt.xticks(rotation=45)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# comparing our four Linkage algorithms\n",
    "average_linkage = hercEW_average.weights\n",
    "complete_linkage = hercEW_complete.weights[average_linkage.columns]\n",
    "single_linkage = hercEW_single.weights[average_linkage.columns]\n",
    "ward_linkage = hercEW_ward.weights[average_linkage.columns]\n",
    "\n",
    "x = np.arange(len(average_linkage.columns))\n",
    "bar_width = 0.2\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(x, single_linkage.values[0], color='green', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width, complete_linkage.values[0], color='red', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*2, average_linkage.values[0], color='blue', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*3, ward_linkage.values[0], color='purple', width=bar_width, zorder=2)\n",
    "\n",
    "plt.xticks(x + bar_width, average_linkage, rotation=45, size=10)\n",
    "plt.title('Comparison of Linkage Algorithms', size=18)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "\n",
    "green_patch = mpatches.Patch(color='green', label='Single Linkage')\n",
    "red_patch = mpatches.Patch(color='red', label='Complete Linkage')\n",
    "blue_patch = mpatches.Patch(color='blue', label='Average Linkage')\n",
    "purple_patch=mpatches.Patch(color='purple', label='Ward Linkage')\n",
    "plt.legend(handles=[green_patch, red_patch, blue_patch, purple_patch], loc='upper left', prop={'size': 13})\n",
    "\n",
    "plt.grid(axis='y')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Through this implementation, we can see how the four different linkage algorithms affect our optimal portfolio creation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standard Deviation Portfolio\n",
    "The Standard Deviation portfolio uses the standard deviation of the clusters as a risk metric to solve for the optimal portfolio. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Standard Deviation Portfolio Weights \n",
      "        Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
      "0  0.012148  0.028957  0.007072    0.005204  0.002705     0.001818   \n",
      "\n",
      "   EuroStox_Small  FTSE_Small   MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
      "0        0.002973    0.007654  0.002457  0.347802  0.005555  0.050624   \n",
      "\n",
      "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.017721   0.402035   0.074922     0.02392    0.006433  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with standard_deviation solution\n",
    "hercMSD = HierarchicalEqualRiskContribution()\n",
    "hercMSD.allocate(asset_names=stock_prices.columns,\n",
    "                 asset_prices=stock_prices,\n",
    "                 optimal_num_clusters=6,\n",
    "                 risk_measure='standard_deviation')\n",
    "\n",
    "print(\"Standard Deviation Portfolio Weights \\n\", hercMSD.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hercMSD_weights = hercMSD.weights\n",
    "y_pos = np.arange(len(hercMSD_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hercMSD_weights.columns), hercMSD_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('Standard Deviation Weights', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Variance Portfolio\n",
    "The Variance portfolio uses the variance of the clusters as a risk metric to calculate asset weights. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variance Portfolio Weights \n",
      "        Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
      "0  0.000987  0.005609  0.000743    0.000547  0.000408     0.000274   \n",
      "\n",
      "   EuroStox_Small  FTSE_Small  MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
      "0        0.000448    0.001154  0.00037  0.333466  0.005326  0.048537   \n",
      "\n",
      "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.016991   0.463714   0.086416     0.02759     0.00742  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with variance solution\n",
    "hercMV = HierarchicalEqualRiskContribution()\n",
    "hercMV.allocate(asset_names=stock_prices.columns,\n",
    "                asset_prices=stock_prices,\n",
    "                optimal_num_clusters=6,\n",
    "                risk_measure='variance')\n",
    "\n",
    "print(\"Variance Portfolio Weights \\n\", hercMV.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hercMV_weights = hercMV.weights\n",
    "y_pos = np.arange(len(hercMV_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hercMV_weights.columns), hercMV_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('Variance Weights', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Expected Shortfall Portfolio\n",
    "The Expected Shortfall (CVaR) of the clusters is now being used as a risk metric to contruct our optimal portfolio."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Expected Shortfall Portfolio Weights \n",
      "       Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
      "0  0.01697  0.041323  0.009512    0.008156  0.004275     0.003428   \n",
      "\n",
      "   EuroStox_Small  FTSE_Small   MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
      "0        0.004147    0.006424  0.003942  0.229564  0.028883  0.088471   \n",
      "\n",
      "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.052172   0.276809   0.121856    0.068915    0.035151  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with expected_shortfall solution\n",
    "hercES = HierarchicalEqualRiskContribution()\n",
    "hercES.allocate(asset_names=stock_prices.columns,\n",
    "                asset_prices=stock_prices,\n",
    "                optimal_num_clusters=6,\n",
    "                risk_measure='expected_shortfall')\n",
    "\n",
    "print(\"Expected Shortfall Portfolio Weights \\n\", hercES.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hercES_weights = hercES.weights\n",
    "y_pos = np.arange(len(hercES_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hercES_weights.columns), hercES_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('Expected Shortfall Weights', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conditional Drawdown at Risk Portfolio\n",
    "The Conditional Drawdown at Risk (CDaR) of the clusters is used as a risk metric."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Conditional Drawdown at Risk Portfolio Weights \n",
      "        Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
      "0  0.015934  0.034344  0.007467     0.00729  0.003866     0.003485   \n",
      "\n",
      "   EuroStox_Small  FTSE_Small   MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
      "0        0.004421    0.006497  0.003483  0.188334  0.036314  0.094146   \n",
      "\n",
      "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.059675    0.22293   0.165948    0.098491    0.047376  \n"
     ]
    }
   ],
   "source": [
    "# HERC implementation with conditional_drawdown_at_risk solution\n",
    "hercCDR = HierarchicalEqualRiskContribution()\n",
    "hercCDR.allocate(asset_names=stock_prices.columns,\n",
    "                 asset_prices=stock_prices,\n",
    "                 optimal_num_clusters=6,\n",
    "                 risk_measure='conditional_drawdown_risk')\n",
    "\n",
    "print(\"Conditional Drawdown at Risk Portfolio Weights \\n\", hercCDR.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "hercCDR_weights = hercCDR.weights\n",
    "y_pos = np.arange(len(hercCDR_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(hercCDR_weights.columns), hercCDR_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('Conditional Drawdown at Risk Weights', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison of Risk Measures\n",
    "In the following graph, we can see how the portfolio weightings differ for each solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "MSD_weights = hercMSD_weights[ward_linkage.columns]\n",
    "MV_weights = hercMV_weights[ward_linkage.columns]\n",
    "ES_weights = hercES_weights[ward_linkage.columns]\n",
    "CDR_weights = hercCDR_weights[ward_linkage.columns]\n",
    "\n",
    "x = np.arange(len(ward_linkage.columns))\n",
    "bar_width = 0.1\n",
    "\n",
    "plt.figure(figsize=(20,10))\n",
    "plt.bar(x, ward_linkage.values[0], color='green', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width, MSD_weights.values[0], color='red', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*2, MV_weights.values[0], color='purple', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*3, ES_weights.values[0], color='pink', width=bar_width, zorder=2)\n",
    "plt.bar(x + bar_width*4, CDR_weights.values[0], color='grey', width=bar_width, zorder=2)\n",
    "\n",
    "plt.xticks(x + bar_width, ward_linkage, rotation=45, size=10)\n",
    "plt.title('Comparison of Allocation Metrics', size=18)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "\n",
    "green_patch = mpatches.Patch(color='green', label='Equal Weighting')\n",
    "red_patch = mpatches.Patch(color='red', label='Standard Deviation')\n",
    "purple_patch=mpatches.Patch(color='purple', label='Variance')\n",
    "pink_patch = mpatches.Patch(color='pink', label='Expected Shortfall')\n",
    "grey_patch=mpatches.Patch(color='grey', label='Conditional Drawdown at Risk')\n",
    "plt.legend(handles=[green_patch, red_patch, purple_patch, pink_patch, grey_patch], loc='upper left', prop={'size': 13})\n",
    "\n",
    "plt.grid(axis='y')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Custom Input from Users\n",
    "MlFinLab also provides users with a lot of customizability when it comes to creating their optimal portfolios. Instead of providing the raw historical closing prices for the assets, users can input the asset returns and a covariance matrix of asset returns. If you would like to learn more about the customizbility within MlFinLab's HERC implementation, please refer to the __[official documentation](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__.\n",
    "\n",
    "The following parameters in the allocate() method are utilized in order to construct a custom use case:\n",
    "1. 'asset_returns': (pd.DataFrame/NumPy matrix) A matrix of asset returns\n",
    "2. 'covariance_matrix': (pd.DataFrame/NumPy matrix) A covariance matrix of asset returns\n",
    "\n",
    "In this example of using custom input, we will be constructing an optimal portfolio under the Conditional Drawdown at Risk solution.\n",
    "\n",
    "To make some of the necessary calculations, we will make use of the ReturnsEstimators class provided by MlFinLab."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing ReturnsEstimation class from MlFinLab\n",
    "from mlfinlab.portfolio_optimization.returns_estimators import ReturnsEstimators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Dates</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1989-02-02</th>\n",
       "      <td>0.001814</td>\n",
       "      <td>0.002981</td>\n",
       "      <td>-0.000841</td>\n",
       "      <td>-0.001274</td>\n",
       "      <td>-0.001847</td>\n",
       "      <td>0.000788</td>\n",
       "      <td>-0.002953</td>\n",
       "      <td>-0.003080</td>\n",
       "      <td>-0.000310</td>\n",
       "      <td>-0.000309</td>\n",
       "      <td>-0.000623</td>\n",
       "      <td>-0.000304</td>\n",
       "      <td>0.003627</td>\n",
       "      <td>0.001617</td>\n",
       "      <td>0.003892</td>\n",
       "      <td>0.010989</td>\n",
       "      <td>0.001256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-03</th>\n",
       "      <td>0.012969</td>\n",
       "      <td>0.006844</td>\n",
       "      <td>0.000438</td>\n",
       "      <td>-0.008291</td>\n",
       "      <td>0.000091</td>\n",
       "      <td>-0.001160</td>\n",
       "      <td>-0.001340</td>\n",
       "      <td>-0.005156</td>\n",
       "      <td>-0.001880</td>\n",
       "      <td>-0.002512</td>\n",
       "      <td>-0.000950</td>\n",
       "      <td>-0.001835</td>\n",
       "      <td>0.004841</td>\n",
       "      <td>0.007902</td>\n",
       "      <td>0.009842</td>\n",
       "      <td>0.015416</td>\n",
       "      <td>-0.004878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-06</th>\n",
       "      <td>-0.012368</td>\n",
       "      <td>0.001584</td>\n",
       "      <td>-0.003132</td>\n",
       "      <td>-0.001929</td>\n",
       "      <td>-0.004277</td>\n",
       "      <td>-0.005050</td>\n",
       "      <td>-0.006405</td>\n",
       "      <td>-0.014509</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.001258</td>\n",
       "      <td>-0.002458</td>\n",
       "      <td>-0.000707</td>\n",
       "      <td>0.002276</td>\n",
       "      <td>-0.001356</td>\n",
       "      <td>-0.000707</td>\n",
       "      <td>-0.003291</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-07</th>\n",
       "      <td>0.013941</td>\n",
       "      <td>-0.001886</td>\n",
       "      <td>0.012127</td>\n",
       "      <td>0.012242</td>\n",
       "      <td>-0.000467</td>\n",
       "      <td>-0.001929</td>\n",
       "      <td>-0.002213</td>\n",
       "      <td>-0.000522</td>\n",
       "      <td>0.000942</td>\n",
       "      <td>0.001889</td>\n",
       "      <td>0.003472</td>\n",
       "      <td>0.006150</td>\n",
       "      <td>0.008099</td>\n",
       "      <td>-0.005131</td>\n",
       "      <td>0.003561</td>\n",
       "      <td>-0.000898</td>\n",
       "      <td>-0.001686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1989-02-08</th>\n",
       "      <td>0.011289</td>\n",
       "      <td>0.009040</td>\n",
       "      <td>-0.003271</td>\n",
       "      <td>-0.005729</td>\n",
       "      <td>0.001219</td>\n",
       "      <td>0.003519</td>\n",
       "      <td>0.004721</td>\n",
       "      <td>0.002099</td>\n",
       "      <td>-0.000941</td>\n",
       "      <td>-0.000948</td>\n",
       "      <td>-0.001266</td>\n",
       "      <td>-0.004280</td>\n",
       "      <td>0.001020</td>\n",
       "      <td>0.003805</td>\n",
       "      <td>0.011481</td>\n",
       "      <td>0.000825</td>\n",
       "      <td>0.000598</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                FTSE  EuroStoxx50     SP500      Gold  French-2Y  French-5Y  \\\n",
       "Dates                                                                         \n",
       "1989-02-02  0.001814     0.002981 -0.000841 -0.001274  -0.001847   0.000788   \n",
       "1989-02-03  0.012969     0.006844  0.000438 -0.008291   0.000091  -0.001160   \n",
       "1989-02-06 -0.012368     0.001584 -0.003132 -0.001929  -0.004277  -0.005050   \n",
       "1989-02-07  0.013941    -0.001886  0.012127  0.012242  -0.000467  -0.001929   \n",
       "1989-02-08  0.011289     0.009040 -0.003271 -0.005729   0.001219   0.003519   \n",
       "\n",
       "            French-10Y  French-30Y     US-2Y     US-5Y    US-10Y    US-30Y  \\\n",
       "Dates                                                                        \n",
       "1989-02-02   -0.002953   -0.003080 -0.000310 -0.000309 -0.000623 -0.000304   \n",
       "1989-02-03   -0.001340   -0.005156 -0.001880 -0.002512 -0.000950 -0.001835   \n",
       "1989-02-06   -0.006405   -0.014509  0.000000  0.000000 -0.001258 -0.002458   \n",
       "1989-02-07   -0.002213   -0.000522  0.000942  0.001889  0.003472  0.006150   \n",
       "1989-02-08    0.004721    0.002099 -0.000941 -0.000948 -0.001266 -0.004280   \n",
       "\n",
       "            Russel2000  EuroStox_Small  FTSE_Small   MSCI_EM       CRB  \n",
       "Dates                                                                   \n",
       "1989-02-02    0.003627        0.001617    0.003892  0.010989  0.001256  \n",
       "1989-02-03    0.004841        0.007902    0.009842  0.015416 -0.004878  \n",
       "1989-02-06   -0.000707        0.002276   -0.001356 -0.000707 -0.003291  \n",
       "1989-02-07    0.008099       -0.005131    0.003561 -0.000898 -0.001686  \n",
       "1989-02-08    0.001020        0.003805    0.011481  0.000825  0.000598  "
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# calculating our asset returns\n",
    "returns = ReturnsEstimators.calculate_returns(stock_prices)\n",
    "returns.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FTSE</th>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <th>SP500</th>\n",
       "      <th>Gold</th>\n",
       "      <th>French-2Y</th>\n",
       "      <th>French-5Y</th>\n",
       "      <th>French-10Y</th>\n",
       "      <th>French-30Y</th>\n",
       "      <th>US-2Y</th>\n",
       "      <th>US-5Y</th>\n",
       "      <th>US-10Y</th>\n",
       "      <th>US-30Y</th>\n",
       "      <th>Russel2000</th>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <th>FTSE_Small</th>\n",
       "      <th>MSCI_EM</th>\n",
       "      <th>CRB</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>FTSE</th>\n",
       "      <td>1.146945e-04</td>\n",
       "      <td>0.000116</td>\n",
       "      <td>5.643606e-05</td>\n",
       "      <td>-3.081248e-06</td>\n",
       "      <td>-8.832561e-07</td>\n",
       "      <td>-2.423788e-06</td>\n",
       "      <td>-3.877263e-06</td>\n",
       "      <td>-0.000007</td>\n",
       "      <td>-1.684947e-06</td>\n",
       "      <td>-5.204467e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-0.000017</td>\n",
       "      <td>6.135381e-05</td>\n",
       "      <td>8.225258e-05</td>\n",
       "      <td>4.439900e-05</td>\n",
       "      <td>6.415264e-05</td>\n",
       "      <td>7.666681e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EuroStoxx50</th>\n",
       "      <td>1.156055e-04</td>\n",
       "      <td>0.000171</td>\n",
       "      <td>7.300403e-05</td>\n",
       "      <td>-8.984117e-06</td>\n",
       "      <td>-1.007815e-06</td>\n",
       "      <td>-3.028229e-06</td>\n",
       "      <td>-4.756979e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-2.485549e-06</td>\n",
       "      <td>-7.711391e-06</td>\n",
       "      <td>-0.000013</td>\n",
       "      <td>-0.000025</td>\n",
       "      <td>8.212584e-05</td>\n",
       "      <td>1.151939e-04</td>\n",
       "      <td>5.028051e-05</td>\n",
       "      <td>7.834393e-05</td>\n",
       "      <td>8.579117e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SP500</th>\n",
       "      <td>5.643606e-05</td>\n",
       "      <td>0.000073</td>\n",
       "      <td>1.166470e-04</td>\n",
       "      <td>-5.160036e-06</td>\n",
       "      <td>-7.911315e-07</td>\n",
       "      <td>-2.029786e-06</td>\n",
       "      <td>-3.471091e-06</td>\n",
       "      <td>-0.000006</td>\n",
       "      <td>-1.831687e-06</td>\n",
       "      <td>-5.366541e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-0.000017</td>\n",
       "      <td>1.169106e-04</td>\n",
       "      <td>5.176979e-05</td>\n",
       "      <td>2.052664e-05</td>\n",
       "      <td>4.920214e-05</td>\n",
       "      <td>5.734262e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gold</th>\n",
       "      <td>-3.081248e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-5.160036e-06</td>\n",
       "      <td>9.391228e-05</td>\n",
       "      <td>5.410605e-07</td>\n",
       "      <td>1.476888e-06</td>\n",
       "      <td>2.321374e-06</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>4.275486e-07</td>\n",
       "      <td>1.104387e-06</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>-3.318860e-06</td>\n",
       "      <td>-2.983680e-06</td>\n",
       "      <td>5.254349e-07</td>\n",
       "      <td>1.190630e-05</td>\n",
       "      <td>6.521527e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-2Y</th>\n",
       "      <td>-8.832561e-07</td>\n",
       "      <td>-0.000001</td>\n",
       "      <td>-7.911315e-07</td>\n",
       "      <td>5.410605e-07</td>\n",
       "      <td>7.601231e-07</td>\n",
       "      <td>1.489883e-06</td>\n",
       "      <td>1.898718e-06</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>2.531965e-07</td>\n",
       "      <td>6.484230e-07</td>\n",
       "      <td>0.000001</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>-9.470974e-07</td>\n",
       "      <td>-7.577931e-07</td>\n",
       "      <td>-6.162087e-07</td>\n",
       "      <td>-9.918712e-07</td>\n",
       "      <td>-1.887774e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-5Y</th>\n",
       "      <td>-2.423788e-06</td>\n",
       "      <td>-0.000003</td>\n",
       "      <td>-2.029786e-06</td>\n",
       "      <td>1.476888e-06</td>\n",
       "      <td>1.489883e-06</td>\n",
       "      <td>4.078881e-06</td>\n",
       "      <td>5.636027e-06</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>6.932479e-07</td>\n",
       "      <td>1.962122e-06</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>-2.710612e-06</td>\n",
       "      <td>-2.274587e-06</td>\n",
       "      <td>-1.463102e-06</td>\n",
       "      <td>-2.348135e-06</td>\n",
       "      <td>-5.283503e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-10Y</th>\n",
       "      <td>-3.877263e-06</td>\n",
       "      <td>-0.000005</td>\n",
       "      <td>-3.471091e-06</td>\n",
       "      <td>2.321374e-06</td>\n",
       "      <td>1.898718e-06</td>\n",
       "      <td>5.636027e-06</td>\n",
       "      <td>1.277570e-05</td>\n",
       "      <td>0.000019</td>\n",
       "      <td>1.087356e-06</td>\n",
       "      <td>3.382581e-06</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>-4.211428e-06</td>\n",
       "      <td>-3.527256e-06</td>\n",
       "      <td>-1.842464e-06</td>\n",
       "      <td>-3.291552e-06</td>\n",
       "      <td>-8.256807e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>French-30Y</th>\n",
       "      <td>-7.056356e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-6.099633e-06</td>\n",
       "      <td>3.174908e-06</td>\n",
       "      <td>2.821258e-06</td>\n",
       "      <td>9.019102e-06</td>\n",
       "      <td>1.901961e-05</td>\n",
       "      <td>0.000048</td>\n",
       "      <td>1.680413e-06</td>\n",
       "      <td>5.734125e-06</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>-8.772903e-06</td>\n",
       "      <td>-7.540945e-06</td>\n",
       "      <td>-4.252162e-06</td>\n",
       "      <td>-5.835942e-06</td>\n",
       "      <td>-1.919975e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-2Y</th>\n",
       "      <td>-1.684947e-06</td>\n",
       "      <td>-0.000002</td>\n",
       "      <td>-1.831687e-06</td>\n",
       "      <td>4.275486e-07</td>\n",
       "      <td>2.531965e-07</td>\n",
       "      <td>6.932479e-07</td>\n",
       "      <td>1.087356e-06</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>1.013660e-06</td>\n",
       "      <td>2.378533e-06</td>\n",
       "      <td>0.000004</td>\n",
       "      <td>0.000005</td>\n",
       "      <td>-2.342607e-06</td>\n",
       "      <td>-1.776541e-06</td>\n",
       "      <td>-8.056344e-07</td>\n",
       "      <td>-1.494199e-06</td>\n",
       "      <td>-2.967647e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-5Y</th>\n",
       "      <td>-5.204467e-06</td>\n",
       "      <td>-0.000008</td>\n",
       "      <td>-5.366541e-06</td>\n",
       "      <td>1.104387e-06</td>\n",
       "      <td>6.484230e-07</td>\n",
       "      <td>1.962122e-06</td>\n",
       "      <td>3.382581e-06</td>\n",
       "      <td>0.000006</td>\n",
       "      <td>2.378533e-06</td>\n",
       "      <td>6.964215e-06</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>0.000017</td>\n",
       "      <td>-7.260984e-06</td>\n",
       "      <td>-5.806622e-06</td>\n",
       "      <td>-2.472951e-06</td>\n",
       "      <td>-4.365090e-06</td>\n",
       "      <td>-1.045403e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-10Y</th>\n",
       "      <td>-8.871253e-06</td>\n",
       "      <td>-0.000013</td>\n",
       "      <td>-8.873862e-06</td>\n",
       "      <td>1.474447e-06</td>\n",
       "      <td>1.021093e-06</td>\n",
       "      <td>3.312250e-06</td>\n",
       "      <td>6.182372e-06</td>\n",
       "      <td>0.000011</td>\n",
       "      <td>3.507931e-06</td>\n",
       "      <td>1.110897e-05</td>\n",
       "      <td>0.000020</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>-1.266648e-05</td>\n",
       "      <td>-1.041040e-05</td>\n",
       "      <td>-4.390510e-06</td>\n",
       "      <td>-7.408970e-06</td>\n",
       "      <td>-1.898038e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>US-30Y</th>\n",
       "      <td>-1.656346e-05</td>\n",
       "      <td>-0.000025</td>\n",
       "      <td>-1.654380e-05</td>\n",
       "      <td>1.685619e-06</td>\n",
       "      <td>1.537965e-06</td>\n",
       "      <td>5.323585e-06</td>\n",
       "      <td>1.070338e-05</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>4.923400e-06</td>\n",
       "      <td>1.698166e-05</td>\n",
       "      <td>0.000033</td>\n",
       "      <td>0.000063</td>\n",
       "      <td>-2.341776e-05</td>\n",
       "      <td>-1.938087e-05</td>\n",
       "      <td>-8.154762e-06</td>\n",
       "      <td>-1.362585e-05</td>\n",
       "      <td>-3.937092e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Russel2000</th>\n",
       "      <td>6.135381e-05</td>\n",
       "      <td>0.000082</td>\n",
       "      <td>1.169106e-04</td>\n",
       "      <td>-3.318860e-06</td>\n",
       "      <td>-9.470974e-07</td>\n",
       "      <td>-2.710612e-06</td>\n",
       "      <td>-4.211428e-06</td>\n",
       "      <td>-0.000009</td>\n",
       "      <td>-2.342607e-06</td>\n",
       "      <td>-7.260984e-06</td>\n",
       "      <td>-0.000013</td>\n",
       "      <td>-0.000023</td>\n",
       "      <td>1.585016e-04</td>\n",
       "      <td>6.264931e-05</td>\n",
       "      <td>2.629348e-05</td>\n",
       "      <td>5.763694e-05</td>\n",
       "      <td>6.943163e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EuroStox_Small</th>\n",
       "      <td>8.225258e-05</td>\n",
       "      <td>0.000115</td>\n",
       "      <td>5.176979e-05</td>\n",
       "      <td>-2.983680e-06</td>\n",
       "      <td>-7.577931e-07</td>\n",
       "      <td>-2.274587e-06</td>\n",
       "      <td>-3.527256e-06</td>\n",
       "      <td>-0.000008</td>\n",
       "      <td>-1.776541e-06</td>\n",
       "      <td>-5.806622e-06</td>\n",
       "      <td>-0.000010</td>\n",
       "      <td>-0.000019</td>\n",
       "      <td>6.264931e-05</td>\n",
       "      <td>1.043372e-04</td>\n",
       "      <td>4.677016e-05</td>\n",
       "      <td>7.067770e-05</td>\n",
       "      <td>8.287795e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>FTSE_Small</th>\n",
       "      <td>4.439900e-05</td>\n",
       "      <td>0.000050</td>\n",
       "      <td>2.052664e-05</td>\n",
       "      <td>5.254349e-07</td>\n",
       "      <td>-6.162087e-07</td>\n",
       "      <td>-1.463102e-06</td>\n",
       "      <td>-1.842464e-06</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>-8.056344e-07</td>\n",
       "      <td>-2.472951e-06</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>-0.000008</td>\n",
       "      <td>2.629348e-05</td>\n",
       "      <td>4.677016e-05</td>\n",
       "      <td>4.052613e-05</td>\n",
       "      <td>4.287962e-05</td>\n",
       "      <td>5.093547e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>MSCI_EM</th>\n",
       "      <td>6.415264e-05</td>\n",
       "      <td>0.000078</td>\n",
       "      <td>4.920214e-05</td>\n",
       "      <td>1.190630e-05</td>\n",
       "      <td>-9.918712e-07</td>\n",
       "      <td>-2.348135e-06</td>\n",
       "      <td>-3.291552e-06</td>\n",
       "      <td>-0.000006</td>\n",
       "      <td>-1.494199e-06</td>\n",
       "      <td>-4.365090e-06</td>\n",
       "      <td>-0.000007</td>\n",
       "      <td>-0.000014</td>\n",
       "      <td>5.763694e-05</td>\n",
       "      <td>7.067770e-05</td>\n",
       "      <td>4.287962e-05</td>\n",
       "      <td>1.262376e-04</td>\n",
       "      <td>1.041458e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CRB</th>\n",
       "      <td>7.666681e-06</td>\n",
       "      <td>0.000009</td>\n",
       "      <td>5.734262e-06</td>\n",
       "      <td>6.521527e-06</td>\n",
       "      <td>-1.887774e-07</td>\n",
       "      <td>-5.283503e-07</td>\n",
       "      <td>-8.256807e-07</td>\n",
       "      <td>-0.000002</td>\n",
       "      <td>-2.967647e-07</td>\n",
       "      <td>-1.045403e-06</td>\n",
       "      <td>-0.000002</td>\n",
       "      <td>-0.000004</td>\n",
       "      <td>6.943163e-06</td>\n",
       "      <td>8.287795e-06</td>\n",
       "      <td>5.093547e-06</td>\n",
       "      <td>1.041458e-05</td>\n",
       "      <td>1.652703e-05</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        FTSE  EuroStoxx50         SP500          Gold  \\\n",
       "FTSE            1.146945e-04     0.000116  5.643606e-05 -3.081248e-06   \n",
       "EuroStoxx50     1.156055e-04     0.000171  7.300403e-05 -8.984117e-06   \n",
       "SP500           5.643606e-05     0.000073  1.166470e-04 -5.160036e-06   \n",
       "Gold           -3.081248e-06    -0.000009 -5.160036e-06  9.391228e-05   \n",
       "French-2Y      -8.832561e-07    -0.000001 -7.911315e-07  5.410605e-07   \n",
       "French-5Y      -2.423788e-06    -0.000003 -2.029786e-06  1.476888e-06   \n",
       "French-10Y     -3.877263e-06    -0.000005 -3.471091e-06  2.321374e-06   \n",
       "French-30Y     -7.056356e-06    -0.000009 -6.099633e-06  3.174908e-06   \n",
       "US-2Y          -1.684947e-06    -0.000002 -1.831687e-06  4.275486e-07   \n",
       "US-5Y          -5.204467e-06    -0.000008 -5.366541e-06  1.104387e-06   \n",
       "US-10Y         -8.871253e-06    -0.000013 -8.873862e-06  1.474447e-06   \n",
       "US-30Y         -1.656346e-05    -0.000025 -1.654380e-05  1.685619e-06   \n",
       "Russel2000      6.135381e-05     0.000082  1.169106e-04 -3.318860e-06   \n",
       "EuroStox_Small  8.225258e-05     0.000115  5.176979e-05 -2.983680e-06   \n",
       "FTSE_Small      4.439900e-05     0.000050  2.052664e-05  5.254349e-07   \n",
       "MSCI_EM         6.415264e-05     0.000078  4.920214e-05  1.190630e-05   \n",
       "CRB             7.666681e-06     0.000009  5.734262e-06  6.521527e-06   \n",
       "\n",
       "                   French-2Y     French-5Y    French-10Y  French-30Y  \\\n",
       "FTSE           -8.832561e-07 -2.423788e-06 -3.877263e-06   -0.000007   \n",
       "EuroStoxx50    -1.007815e-06 -3.028229e-06 -4.756979e-06   -0.000009   \n",
       "SP500          -7.911315e-07 -2.029786e-06 -3.471091e-06   -0.000006   \n",
       "Gold            5.410605e-07  1.476888e-06  2.321374e-06    0.000003   \n",
       "French-2Y       7.601231e-07  1.489883e-06  1.898718e-06    0.000003   \n",
       "French-5Y       1.489883e-06  4.078881e-06  5.636027e-06    0.000009   \n",
       "French-10Y      1.898718e-06  5.636027e-06  1.277570e-05    0.000019   \n",
       "French-30Y      2.821258e-06  9.019102e-06  1.901961e-05    0.000048   \n",
       "US-2Y           2.531965e-07  6.932479e-07  1.087356e-06    0.000002   \n",
       "US-5Y           6.484230e-07  1.962122e-06  3.382581e-06    0.000006   \n",
       "US-10Y          1.021093e-06  3.312250e-06  6.182372e-06    0.000011   \n",
       "US-30Y          1.537965e-06  5.323585e-06  1.070338e-05    0.000021   \n",
       "Russel2000     -9.470974e-07 -2.710612e-06 -4.211428e-06   -0.000009   \n",
       "EuroStox_Small -7.577931e-07 -2.274587e-06 -3.527256e-06   -0.000008   \n",
       "FTSE_Small     -6.162087e-07 -1.463102e-06 -1.842464e-06   -0.000004   \n",
       "MSCI_EM        -9.918712e-07 -2.348135e-06 -3.291552e-06   -0.000006   \n",
       "CRB            -1.887774e-07 -5.283503e-07 -8.256807e-07   -0.000002   \n",
       "\n",
       "                       US-2Y         US-5Y    US-10Y    US-30Y    Russel2000  \\\n",
       "FTSE           -1.684947e-06 -5.204467e-06 -0.000009 -0.000017  6.135381e-05   \n",
       "EuroStoxx50    -2.485549e-06 -7.711391e-06 -0.000013 -0.000025  8.212584e-05   \n",
       "SP500          -1.831687e-06 -5.366541e-06 -0.000009 -0.000017  1.169106e-04   \n",
       "Gold            4.275486e-07  1.104387e-06  0.000001  0.000002 -3.318860e-06   \n",
       "French-2Y       2.531965e-07  6.484230e-07  0.000001  0.000002 -9.470974e-07   \n",
       "French-5Y       6.932479e-07  1.962122e-06  0.000003  0.000005 -2.710612e-06   \n",
       "French-10Y      1.087356e-06  3.382581e-06  0.000006  0.000011 -4.211428e-06   \n",
       "French-30Y      1.680413e-06  5.734125e-06  0.000011  0.000021 -8.772903e-06   \n",
       "US-2Y           1.013660e-06  2.378533e-06  0.000004  0.000005 -2.342607e-06   \n",
       "US-5Y           2.378533e-06  6.964215e-06  0.000011  0.000017 -7.260984e-06   \n",
       "US-10Y          3.507931e-06  1.110897e-05  0.000020  0.000033 -1.266648e-05   \n",
       "US-30Y          4.923400e-06  1.698166e-05  0.000033  0.000063 -2.341776e-05   \n",
       "Russel2000     -2.342607e-06 -7.260984e-06 -0.000013 -0.000023  1.585016e-04   \n",
       "EuroStox_Small -1.776541e-06 -5.806622e-06 -0.000010 -0.000019  6.264931e-05   \n",
       "FTSE_Small     -8.056344e-07 -2.472951e-06 -0.000004 -0.000008  2.629348e-05   \n",
       "MSCI_EM        -1.494199e-06 -4.365090e-06 -0.000007 -0.000014  5.763694e-05   \n",
       "CRB            -2.967647e-07 -1.045403e-06 -0.000002 -0.000004  6.943163e-06   \n",
       "\n",
       "                EuroStox_Small    FTSE_Small       MSCI_EM           CRB  \n",
       "FTSE              8.225258e-05  4.439900e-05  6.415264e-05  7.666681e-06  \n",
       "EuroStoxx50       1.151939e-04  5.028051e-05  7.834393e-05  8.579117e-06  \n",
       "SP500             5.176979e-05  2.052664e-05  4.920214e-05  5.734262e-06  \n",
       "Gold             -2.983680e-06  5.254349e-07  1.190630e-05  6.521527e-06  \n",
       "French-2Y        -7.577931e-07 -6.162087e-07 -9.918712e-07 -1.887774e-07  \n",
       "French-5Y        -2.274587e-06 -1.463102e-06 -2.348135e-06 -5.283503e-07  \n",
       "French-10Y       -3.527256e-06 -1.842464e-06 -3.291552e-06 -8.256807e-07  \n",
       "French-30Y       -7.540945e-06 -4.252162e-06 -5.835942e-06 -1.919975e-06  \n",
       "US-2Y            -1.776541e-06 -8.056344e-07 -1.494199e-06 -2.967647e-07  \n",
       "US-5Y            -5.806622e-06 -2.472951e-06 -4.365090e-06 -1.045403e-06  \n",
       "US-10Y           -1.041040e-05 -4.390510e-06 -7.408970e-06 -1.898038e-06  \n",
       "US-30Y           -1.938087e-05 -8.154762e-06 -1.362585e-05 -3.937092e-06  \n",
       "Russel2000        6.264931e-05  2.629348e-05  5.763694e-05  6.943163e-06  \n",
       "EuroStox_Small    1.043372e-04  4.677016e-05  7.067770e-05  8.287795e-06  \n",
       "FTSE_Small        4.677016e-05  4.052613e-05  4.287962e-05  5.093547e-06  \n",
       "MSCI_EM           7.067770e-05  4.287962e-05  1.262376e-04  1.041458e-05  \n",
       "CRB               8.287795e-06  5.093547e-06  1.041458e-05  1.652703e-05  "
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# calculating our covariance matrix\n",
    "cov = returns.cov()\n",
    "cov"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conditional Drawdown at Risk Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Custom HERC Portfolio - Conditional Drawdown at Risk \n",
      "        Gold       CRB     SP500  Russel2000      FTSE  EuroStoxx50  \\\n",
      "0  0.015934  0.034344  0.007467     0.00729  0.003866     0.003485   \n",
      "\n",
      "   EuroStox_Small  FTSE_Small   MSCI_EM     US-2Y    US-30Y     US-5Y  \\\n",
      "0        0.004421    0.006497  0.003483  0.188334  0.036314  0.094146   \n",
      "\n",
      "     US-10Y  French-2Y  French-5Y  French-10Y  French-30Y  \n",
      "0  0.059675    0.22293   0.165948    0.098491    0.047376  \n"
     ]
    }
   ],
   "source": [
    "# from here, we can now create our portfolio\n",
    "hercCDR_custom = HierarchicalEqualRiskContribution()\n",
    "hercCDR_custom.allocate(asset_names=stock_prices.columns,\n",
    "                        asset_returns=returns,\n",
    "                        covariance_matrix=cov,\n",
    "                        optimal_num_clusters=6,\n",
    "                        risk_measure='conditional_drawdown_risk')\n",
    "\n",
    "print(\"Custom HERC Portfolio - Conditional Drawdown at Risk \\n\", hercCDR_custom.weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting our optimal portfolio\n",
    "customCDR_weights = hercCDR_custom.weights\n",
    "y_pos = np.arange(len(customCDR_weights.columns))\n",
    "\n",
    "plt.figure(figsize=(25,7))\n",
    "plt.bar(list(customCDR_weights.columns), customCDR_weights.values[0])\n",
    "plt.xticks(y_pos, rotation=45, size=10)\n",
    "plt.xlabel('Assets', size=20)\n",
    "plt.ylabel('Asset Weights', size=20)\n",
    "plt.title('Custom Portfolio Weights', size=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Through this implementation, we can see alternative ways of which users can construct an optimal portfolio using the HCAA techniques implemented by MlFinLab."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "Throughout this notebook, we saw how we can apply Raffinot's work from his Hierarchical Equal Risk Contribution technique through the MlFinLab library. We worked through how we can specify many different parameters to solve for our optimal portfolio, including chaning our risk metrics and the type of linkage algorithms being used for clustering. Users were also made aware of how they can customize their input to have more control over their calculations. If you would like to learn more about the HERC technique, please refer to Raffinot's original paper linked at the top of this notebook. Additionally, please refer to the official documentation for this tutorial which can be found __[at this link](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__ if you have any further questions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sources\n",
    "Official MlFinLab Documentation:\n",
    "- __[Hierarchical Equal Risk Contribution](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/hierarchical_equal_risk_contribution.html)__\n",
    "- __[Estimation of Returns](https://mlfinlab.readthedocs.io/en/latest/portfolio_optimisation/returns_estimation.html)__\n",
    "\n",
    "Algorithms:\n",
    "- __[Hierarchical Risk Parity - Hudson & Thames](https://hudsonthames.org/an-introduction-to-the-hierarchical-risk-parity-algorithm/)__\n",
    "- __[Hierarchical Equal Risk Contribution - Thomas Raffinot](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3237540)__\n",
    "- __[Hierarchical Clustering Based Asset Allocation - Thomas Raffinot](https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2840729)__"
   ]
  }
 ],
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